Synchronization Criterion for Lur'e Systems via Delayed PD Controller

Title
Synchronization Criterion for Lur'e Systems via Delayed PD Controller
Author(s)
박주현D.H. Ji[D.H. Ji]S.M. Lee[S.M. Lee]J.H. Koo[J.H. Koo]S.C. Won[S.C. Won]
Keywords
MASTER-SLAVE SYNCHRONIZATION; TIME-VARYING DELAY; FEEDBACK-CONTROL; CHAOS SYNCHRONIZATION; STABILITY
Issue Date
201011
Publisher
SPRINGER/PLENUM PUBLISHERS
Citation
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v.147, no.2, pp.298 - 317
Abstract
In this paper, the effects of a time varying delay on a chaotic drive-response synchronization are considered. Using a delayed feedback proportional-derivative (PD) controller scheme, a delay-dependent synchronization criterion is derived for chaotic systems represented by the Lur'e system with sector and slope restricted nonlinearities. The derived criterion is a sufficient condition for the absolute stability of the error dynamics between the drive and the response systems. By the use of a convex representation of the nonlinearity and the discretized Lyapunov-Krasovskii functional, stability condition is obtained via the LMI formulation. The condition represented in the terms of linear matrix inequalities (LMIs) can be solved by the application of convex optimization algorithms. The effectiveness of the work is verified through numerical examples.
URI
http://hdl.handle.net/YU.REPOSITORY/23341http://dx.doi.org/10.1007/s10957-010-9723-0
ISSN
0022-3239
Appears in Collections:
공과대학 > 전기공학과 > Articles
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE